Question 1 :
If the radius of a hemisphere is 5 cm, then its volume is<br/>

Question 2 :
In a cylinder, if the radius is halved and height is doubled then the volume will be<br/>

Question 3 :
If a well of diameter 8 m has been dug to the depth of 14 m, then the volume of the earth dug out is<br/>

Question 4 :
If two solid hemisphere of same base radius r are joined together along with their bases, then the curved surface of this new solid is<br/>

Question 5 :
If the diameter of a sphere is 16 cm, then its surface area is<br/>

Question 6 :
The volumes of two spheres are in the ratio 64 : 27. The ratio of their surface areas is<br/>

Question 7 :
The shape of a gilli, in the the game of gilli- danda, is a combination of<br/> <img style='object-fit:contain' src="> (b) a cone and a cylinders<br/> (c) two cones and a cylinder<br/> (d) two cylinders and a cone<br/>

Question 8 :
In a cylinder, if the radius is doubled &amp;nd height is halved then its curved surface area will be<br/>

Question 9 :
During the conversion of a solid from one shape to another, the volume of the new shape will<br/>

Question 10 :
The radius of a hemispherical balloon increases from 6 cm to 12 cm as air is being pumped into it. The ratio of the surface areas of the balloon in the two cases is<br/>

Question 11 :
If two cylinders of the same lateral surface have their radii in the ratio 4 : 9, then the ratio of their heights is<br/>

Question 12 :
If a marble of radius 2.1 cm is put into a cylindrical cup full of water of radius 5 cm and height 6 cm, then the volume of water that flows out of the cylindrical cup is<br/>

Question 13 :
The total surface area of a cone whose radius is {tex} \frac { r }{ 2 } {/tex} and slant height 2l is<br/>

Question 14 :
If a solid of one shape is converted to another, then the surface area of the new solid<br/>

Question 15 :
If the diameter of the base of a cone is 12 cm and height is 20 cm, then its volume is ,<br/>

Question 16 :
The volume of the greatest sphere cut off from a circular cylindrical wood of base radius 1 cm and height 6 cm is<br/>

Question 17 :
If the diameter of the base of cone is 10 cm and its height is 12 cm, then its curved surface area is<br/>

Question 18 :
The radii of two cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 : 3. The ratio of their volumes is<br/>

Question 19 :
If a cone, a hemisphere and a cylinder have equal bases and have same height, then the ratio of their volumes is<br/>

Question 20 :
The volume of the largest right circular cone that can be carved out from a cube of edge 4.2 cm is<br/>

Question 21 :
If the base radius of a cone is 6.00 cm and slant height is 7.81 cm, its T.S.A is

Question 22 :
If a solid circular cylinder of iron whose diameter is 15 cm and height 10 cm is melted and recasted into a sphere, then the radius of the sphere is<br/>

Question 23 :
From a solid cylinder of height 13.00 cm and base radius 5.00 cm, a conical cavity of height 5.00 cm and base radius 5.00 cm is drilled out. Find the volume of the resulting solid<br><img style='object-fit:contain' src="https://s3.ap-south-1.amazonaws.com/me-p/5fb6636816d7e6154e469a88.jpg" />

Question 24 :
If the base radius of a cone is 5.00 cm and slant height is 7.07 cm, its vertical height is

Question 25 :
An open cylindrical vessel of internal diameter 29.00 cm and height 11.00 cm stands on a horizontal table. Inside this is placed a solid metallic right circular cone, the diameter of whose base is 14.50 cm and height 11.00 cm and filled with water. If the cone is replaced by another cone whose height is 6.60 cm and base radius is 2.17 cm, find the drop in the water level.

Question 26 :
The radii of the ends of a frustum of a right circular cone 14.00 cm high are 10.00 cm and 7.00 cm. Its slant height is

Question 27 :
A solid consisting of a right circular cone, standing on a hemisphere is placed upright, in a right circular cylinder full of water and touches the bottom. The radius of the cylinder is 15.00 cm and height is 27.00 cm. The radius of the hemisphere is 10.00 cm and the height of the cone is 13.00 cm. Find the volume of water left in the cylinder.<br><img style='object-fit:contain' src="https://s3.ap-south-1.amazonaws.com/me-p/5fb6641e16d7e6154e469a8a.jpg" />

Question 28 :
A solid piece of iron in the form of a cuboid of dimensions 49 cm x 33 cm x 24 cm is moulded to form a sphere. The radius of the sphere is<br/>

Question 29 :
A conical vessel of radius 3.00 cm and height 4.00 cm is completely filled with water. A sphere is lowered into the water and its size is such that when it touches the sides, it is just immersed. Find the fraction of the water that overflows

Question 30 :
A cone of maximum volume is carved out of a cuboid of dimensions 23.00 cm✕23.00 cm✕7.00 cm. Find the volume of the cone